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Sunday, November 3, 2013

Special Products - Factoring, 23

Category: Algebra

"Published in Suisun City, California, USA"

Find the factors for


Solution:

Consider the given equation above


Did you notice that the first four terms of the given equation is a perfect cube? Well, let's group the first four terms as follows



Next, rewrite the grouped terms in terms of exponential function as follows



Since 64 is a perfect cube, then we can factor the above equation by the difference of two cubes. Therefore, the factors of the given equation are